Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
314 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19147200 | C2 | semidirect |
| 2. #19136836 | C2 | semidirect |
| 3. #19136627 | C2 | semidirect |
| 4. #19132648 | C2 | semidirect |
| 5. #19132561 | C2 | semidirect |
| 6. #19132553 | C2 | semidirect |
| 7. C43×#1687 | C2 | semidirect |
| 150. #1687 | D43 | semidirect |
| 179. C43 | #12348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147200 | 2 |
| #19136836 | 2 |
| #19136627 | 2 |
| #19132648 | 2 |
| #19132561 | 2 |
| #19132553 | 2 |
| C43×#1687 | 2 |
| #12348 | 43 |